Finding the Third Proportional to 82,859 and 127,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,859 : 127,523.50 = 127,523.50 : x
2. Step 2: Convert to fraction form
   82,859/127,523.50 = 127,523.50/x
3. Step 3: Cross multiply
   82,859x = 127,523.50 × 127,523.50
4. Step 4: Simplify right side
   82,859x = 16,262,243,052.25
5. Step 5: Solve for x
   x = 16,262,243,052.25/82,859
6. Step 6: Final answer
   x = 196,264.05